Table 3
Comparison of the modeled rheological parameters.
Base fluid | 0.25% MNC-OBDF | 0.5% MNC-OBDF | 1% MNC-OBDF | 1.5% MNC-OBDF | 2% MNC-OBDF | 0.25% NG-OBDF | 0.5% NG-OBDF | 1% NG-OBDF | 1.5% NG-OBDF | 2% NG-OBDF | |||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Bingham Plastic model | 90 °F | PV | 0.0167 | 0.0183 | 0.0224 | 0.0242 | 0.0255 | 0.0285 | 0.0177 | 0.0182 | 0.0197 | 0.0223 | 0.0254 |
YP | 3.9637 | 4.4262 | 5.0744 | 6.2212 | 6.9728 | 7.9781 | 3.9454 | 3.7851 | 4.4589 | 5.5389 | 5.9085 | ||
R 2 | 0.9830 | 0.9864 | 0.9866 | 0.9887 | 0.9879 | 0.9910 | 0.9843 | 0.9912 | 0.9875 | 0.9882 | 0.9922 | ||
140 °F | PV | 0.0117 | 0.0123 | 0.0156 | 0.0181 | 0.0215 | 0.0271 | 0.0123 | 0.0144 | 0.0141 | 0.0155 | 0.0187 | |
YP | 2.7837 | 3.6889 | 4.2351 | 5.9496 | 7.7374 | 7.6066 | 3.1789 | 2.9712 | 3.6469 | 3.9364 | 3.8816 | ||
R 2 | 0.9808 | 0.9866 | 0.9906 | 0.9834 | 0.9635 | 0.9865 | 0.9866 | 0.9959 | 0.9906 | 0.9810 | 0.9889 | ||
180 °F | PV | 0.0097 | 0.0118 | 0.0148 | 0.0171 | 0.0208 | 0.0242 | 0.0102 | 0.0108 | 0.0117 | 0.0122 | 0.0167 | |
YP | 2.3557 | 3.2536 | 4.6869 | 6.1026 | 7.1266 | 7.9297 | 2.7910 | 3.2719 | 3.3793 | 3.3046 | 3.8781 | ||
R 2 | 0.9641 | 0.9809 | 0.9659 | 0.9489 | 0.9529 | 0.9512 | 0.9736 | 0.9786 | 0.9753 | 0.9814 | 0.9871 | ||
Power law model | 90 °F | k | 1.6397 | 1.9238 | 2.1308 | 2.9064 | 3.3581 | 3.9496 | 1.6047 | 1.5988 | 1.8842 | 2.4833 | 2.7159 |
n | 0.3343 | 0.3234 | 0.3359 | 0.3042 | 0.2927 | 0.2854 | 0.3437 | 0.3437 | 0.3351 | 0.3149 | 0.3166 | ||
R 2 | 0.9688 | 0.9586 | 0.9611 | 0.9462 | 0.9404 | 0.9335 | 0.9666 | 0.9607 | 0.9629 | 0.9554 | 0.9429 | ||
140 °F | k | 1.1227 | 1.8049 | 2.0379 | 2.9635 | 3.5966 | 3.6362 | 1.4434 | 1.3755 | 1.7390 | 1.6871 | 1.5884 | |
n | 0.3389 | 0.2813 | 0.2940 | 0.2702 | 0.2758 | 0.2917 | 0.3089 | 0.3272 | 0.3002 | 0.3217 | 0.3496 | ||
R 2 | 0.9735 | 0.9449 | 0.9483 | 0.9480 | 0.9724 | 0.9413 | 0.9532 | 0.9369 | 0.9472 | 0.9685 | 0.9665 | ||
180 °F | k | 0.8381 | 1.4568 | 2.0491 | 2.6026 | 3.0331 | 3.2579 | 1.1686 | 1.5025 | 1.4667 | 1.4531 | 1.6444 | |
n | 0.3600 | 0.3057 | 0.2979 | 0.2926 | 0.2963 | 0.3064 | 0.3188 | 0.2923 | 0.3073 | 0.3105 | 0.3320 | ||
R 2 | 0.9847 | 0.9581 | 0.9732 | 0.9813 | 0.9844 | 0.9861 | 0.9731 | 0.9623 | 0.9719 | 0.9671 | 0.9652 | ||
Herschel Bulkley model | 90 °F | k | 0.09463 | 0.09031 | 0.11160 | 0.09305 | 0.09272 | 0.09727 | 0.09295 | 0.06302 | 0.08811 | 0.09851 | 0.08543 |
n | 0.7520 | 0.7718 | 0.7702 | 0.8074 | 0.8152 | 0.8243 | 0.7632 | 0.8221 | 0.7857 | 0.7871 | 0.8262 | ||
τ 0 | 2.923 | 3.400 | 3.809 | 5.122 | 5.873 | 6.820 | 2.904 | 3.036 | 3.440 | 4.397 | 4.891 | ||
R 2 | 0.9982 | 0.9994 | 0.9999 | 0.9978 | 0.9962 | 0.9986 | 0.9982 | 0.9978 | 0.9987 | 0.9993 | 0.9995 | ||
140 °F | k | 0.07082 | 0.05652 | 0.05253 | 0.07729 | 0.26750 | 0.12050 | 0.05652 | 0.03369 | 0.04295 | 0.08138 | 0.07269 | |
n | 0.7427 | 0.7817 | 0.8265 | 0.7921 | 0.6416 | 0.7867 | 0.7817 | 0.8779 | 0.8408 | 0.7631 | 0.8053 | ||
τ 0 | 2.018 | 3.038 | 3.611 | 5.051 | 5.480 | 6.209 | 2.528 | 2.588 | 3.137 | 3.026 | 3.025 | ||
R 2 | 0.9972 | 0.9973 | 0.9959 | 0.9889 | 0.9957 | 0.9966 | 0.9973 | 0.9994 | 0.9963 | 0.9942 | 0.9978 | ||
180 °F | k | 0.11600 | 0.07384 | 0.17460 | 0.32210 | 0.36480 | 0.43070 | 0.08334 | 0.07720 | 0.09543 | 0.07218 | 0.07618 | |
n | 0.6474 | 0.7383 | 0.6491 | 0.5841 | 0.5939 | 0.5916 | 0.7003 | 0.7190 | 0.7007 | 0.7456 | 0.7828 | ||
τ 0 | 1.360 | 2.461 | 3.178 | 3.818 | 4.457 | 4.804 | 1.969 | 2.477 | 2.438 | 2.521 | 3.001 | ||
R 2 | 0.9975 | 0.9986 | 0.9996 | 0.9957 | 0.9977 | 0.9960 | 0.9966 | 0.9990 | 0.9982 | 0.9973 | 0.9974 |